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Finding the Fourth Proportional to 2,878.04, 3,971.62 and 1,636.04

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Solution

The fourth proportional to 2,878.04, 3,971.62 and 1,636.04 is: 2,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.04 : 3,971.62 = 1,636.04 : x
  2. Step 2: Convert to fraction form
    2,878.04/3,971.62 = 1,636.04/x
  3. Step 3: Cross multiply
    2,878.04x = 3,971.62 × 1,636.04
  4. Step 4: Simplify right side
    2,878.04x = 6,497,729.18
  5. Step 5: Solve for x
    x = 6,497,729.18/2,878.04
  6. Step 6: Final answer
    x = 2,257.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.